CLOSURES OF PROPER CLASSES
| dc.authorid | Alizade, Refail/0000-0003-4444-9136 | |
| dc.authorid | Demirci, Yilmaz Mehmet/0000-0003-3802-4211 | |
| dc.contributor.author | Alizade, Rafail | |
| dc.contributor.author | Demirci, Yilmaz Mehmet | |
| dc.date.accessioned | 2025-03-23T19:27:31Z | |
| dc.date.available | 2025-03-23T19:27:31Z | |
| dc.date.issued | 2017 | |
| dc.department | Sinop Üniversitesi | |
| dc.description.abstract | For an integral domain R we consider the closures (M) over cap ((M) over cap (r), r epsilon R) of a submodule M of an R-module N consisting of elements n of N with t n epsilon M (r(m) n epsilon M) for some nonzero t epsilon R (m epsilon Z(+)) and its connections with usual closure (M) over bar of M in N. Using these closures we study the closures (P) over cap and (P) over cap (r) of a proper class P of short exact sequences and give a decomposition for the class of quasi-splitting short exact sequences of abelian groups into the direct sum of p-closures of the class Split of splitting short exact sequences and description of closures of some classes. In the general case of an arbitrary ring we generalize these closures of a proper class P by means of homomorphism classes F and G and prove that under some conditions this closure (P) over cap (G)(F) is a proper classes. | |
| dc.identifier.doi | 10.18514/MMN.2016.1566 | |
| dc.identifier.endpage | 738 | |
| dc.identifier.issn | 1787-2405 | |
| dc.identifier.issn | 1787-2413 | |
| dc.identifier.issue | 2 | |
| dc.identifier.scopus | 2-s2.0-85014688581 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 723 | |
| dc.identifier.uri | https://doi.org/10.18514/MMN.2016.1566 | |
| dc.identifier.uri | https://hdl.handle.net/11486/4922 | |
| dc.identifier.volume | 17 | |
| dc.identifier.wos | WOS:000396217100002 | |
| dc.identifier.wosquality | Q2 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | |
| dc.publisher | Univ Miskolc Inst Math | |
| dc.relation.ispartof | Miskolc Mathematical Notes | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | KA_WOS_20250323 | |
| dc.subject | proper class of short exact sequences | |
| dc.subject | closure of a proper class | |
| dc.subject | sum of proper classes | |
| dc.subject | closure of a module | |
| dc.title | CLOSURES OF PROPER CLASSES | |
| dc.type | Article |
